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Communications in Algebra Volume 31, 2003 - Issue 12
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Original Articles

Minimal Overrings of an Integrally Closed Domain

Ahmed Ayache University of Bahrain, Faculty of Science, Department of Mathematics, Isa Town, State of Bahrain; University of Bahrain, Faculty of Science, Department of Mathematics, P. O. Box 32038, Isa Town, State of BahrainCorrespondence[email protected]
Pages 5693-5714 | Received 01 Nov 2001, Published online: 01 Feb 2007

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Read on this site (7)

M. Alinaghizadeh & A. Azarang. (2023) Maximal subrings of classical integral domains. Quaestiones Mathematicae 46:7, pages 1253-1272.
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Alborz Azarang. (2022) Conch maximal subrings. Communications in Algebra 50:3, pages 1267-1282.
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Ahmed Ayache. (2015) The Set of Intermediate Rings as a Boolean Algebra. Communications in Algebra 43:4, pages 1377-1386.
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Noômen Jarboui & Essebti Massaoud. (2012) On Finite Saturated Chains of Overrings. Communications in Algebra 40:4, pages 1563-1569.
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ThomasJ. Dorsey & Zachary Mesyan. (2009) On Minimal Extensions of Rings. Communications in Algebra 37:10, pages 3463-3486.
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Giampaolo Picozza & Francesca Tartarone. (2008) When the Semistar Operation is the Identity. Communications in Algebra 36:5, pages 1954-1975.
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DavidE. Dobbs. (2006) Every Commutative Ring Has a Minimal Ring Extension. Communications in Algebra 34:10, pages 3875-3881.
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Articles from other publishers (12)

Rahul Kumar & Atul Gaur. (2020) Pointwise maximal subrings. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 62:4, pages 843-856.
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Rahul Kumar & Atul Gaur. (2019) Δ-Extension of rings and invariance properties of ring extension under group action. Journal of Algebra and Its Applications 17:12, pages 1850239.
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R. Kumar & A. Gaur. (2018) A Corrigendum to “Hereditary Properties Between a Ring and Its Maximal Subrings”. Ukrainian Mathematical Journal 70:4, pages 671-672.
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Rahul Kumar & Atul Gaur. (2018) On λ-extensions of commutative rings. Journal of Algebra and Its Applications 17:04, pages 1850063.
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Ahmed Ayache & David E. Dobbs. (2016) Strongly divided domains. Ricerche di Matematica 65:1, pages 127-154.
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Ahmed Ayache & David E. Dobbs. (2014) Finite maximal chains of commutative rings. Journal of Algebra and Its Applications 14:01, pages 1450075.
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PAUL-JEAN CAHEN, DAVID E. DOBBS & THOMAS G. LUCAS. (2012) FINITELY VALUATIVE DOMAINS. Journal of Algebra and Its Applications 11:06, pages 1250112.
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Ahmed Ayache. (2010) The set of indeterminate rings of a normal pair as a partially ordered set. Ricerche di Matematica 60:2, pages 193-201.
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PAUL-JEAN CAHEN, DAVID E. DOBBS & THOMAS G. LUCAS. (2011) VALUATIVE DOMAINS. Journal of Algebra and Its Applications 09:01, pages 43-72.
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David E. Dobbs & Jay Shapiro. (2007) A classification of the minimal ring extensions of certain commutative rings. Journal of Algebra 308:2, pages 800-821.
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David E. Dobbs & Jay Shapiro. (2006) A classification of the minimal ring extensions of an integral domain. Journal of Algebra 305:1, pages 185-193.
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Gabriel Picavet & Martine Picavet-L’Hermitte. 2006. Multiplicative Ideal Theory in Commutative Algebra. Multiplicative Ideal Theory in Commutative Algebra 369 386 .

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